Subgroups — C₁₃₉×#36340 #48030936

Order 35584.

2850 conjugacy classes of subgroups.

The subgroup lattice has 1182 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#546×C₁₃₉	C₂	1	1	yes	maximal, characteristic
2	C₂²×#117×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
3	#2854×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
4	#2853×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
5	#2849×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
6	#2591×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
7	#2579×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
8	#2476×C₁₃₉	C₂	1	2	yes	maximal, complemented
9	#2476×C₁₃₉	C₂	1	2	yes	maximal, complemented
10	#2474×C₁₃₉	C₂	1	2	yes	maximal, complemented
11	#2470×C₁₃₉	C₂	1	2	yes	maximal, complemented
12	#2438×C₁₃₉	C₂	1	2	yes	maximal, complemented
13	#2413×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
14	#2412×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
15	#2411×C₁₃₉	C₂	1	2	yes	maximal, complemented
16	#2406×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
17	#2405×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
18	#2359×C₁₃₉	C₂	1	2	yes	maximal, complemented
19	#2342×C₁₃₉	C₂	1	2	yes	maximal, complemented
20	#2342×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#123×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
22	#2297×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#386×C₁₃₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#41×C₁₃₉	C₂²	1	1	yes	characteristic
25	C₂³×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
26	C₂⁴×C₄×C₁₃₉	C₂²	1	1	yes	characteristic
27	#546×C₁₃₉	—	2	8	no	—
28	C₂×#124×C₁₃₉	C₂²	1	1	yes	characteristic
29	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
30	C₂×#123×C₁₃₉	C₂²	1	2	yes	—
31	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
32	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
33	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic
34	C₂×#123×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₂²⋊Q₈×C₁₃₉	C₂²	1	1	yes	characteristic
36	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
37	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
38	C₂×#121×C₁₃₉	C₂²	1	1	yes	characteristic
39	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
40	C₂×#120×C₁₃₉	C₂²	1	1	yes	characteristic
41	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₃₉	C₂²	1	1	yes	characteristic
43	C₂×#117×C₁₃₉	—	2	8	no	—
44	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
45	C₂×#117×C₁₃₉	C₂²	1	2	yes	—
46	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
47	C₂×#117×C₁₃₉	C₂²	1	2	yes	complemented
48	C₂×#117×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
49	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
50	C₂²×C₄⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
51	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
52	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
53	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
54	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
55	C₂²×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic
56	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
57	C₂²×C₄²×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
58	#400×C₁₃₉	C₂²	1	2	yes	complemented
59	#398×C₁₃₉	C₂²	1	2	yes	complemented
60	#398×C₁₃₉	C₂²	1	2	yes	complemented
61	#397×C₁₃₉	C₂²	1	2	yes	complemented
62	#396×C₁₃₉	C₂²	1	2	yes	complemented
63	#396×C₁₃₉	C₂²	1	2	yes	complemented
64	#395×C₁₃₉	C₂²	1	2	yes	complemented
65	#394×C₁₃₉	C₂²	1	2	yes	—
66	#394×C₁₃₉	C₂²	1	2	yes	—
67	#394×C₁₃₉	C₂²	1	2	yes	complemented
68	#394×C₁₃₉	C₂²	1	2	yes	complemented
69	#394×C₁₃₉	C₂²	1	2	yes	complemented
70	#391×C₁₃₉	C₂²	1	2	yes	complemented
71	#390×C₁₃₉	C₂²	1	2	yes	complemented
72	#390×C₁₃₉	C₂²	1	2	yes	complemented
73	#389×C₁₃₉	C₂²	1	2	yes	complemented
74	#389×C₁₃₉	C₂²	1	2	yes	complemented
75	#388×C₁₃₉	C₂²	1	2	yes	complemented
76	#388×C₁₃₉	C₂²	1	2	yes	complemented
77	#388×C₁₃₉	C₂²	1	2	yes	complemented
78	#388×C₁₃₉	C₂²	1	2	yes	complemented
79	#388×C₁₃₉	C₂²	1	2	yes	complemented
80	#388×C₁₃₉	C₂²	1	2	yes	complemented
81	#388×C₁₃₉	C₂²	1	2	yes	complemented
82	#388×C₁₃₉	C₂²	1	2	yes	complemented
83	#388×C₁₃₉	C₂²	1	2	yes	complemented
84	#388×C₁₃₉	C₂²	1	2	yes	complemented
85	#387×C₁₃₉	C₂²	1	2	yes	complemented
86	#387×C₁₃₉	C₂²	1	2	yes	complemented
87	#387×C₁₃₉	C₂²	1	2	yes	complemented
88	#387×C₁₃₉	C₂²	1	2	yes	complemented
89	#386×C₁₃₉	C₂²	1	1	yes	characteristic
90	#386×C₁₃₉	C₂²	1	1	yes	characteristic
91	#386×C₁₃₉	C₂²	1	1	yes	characteristic
92	#386×C₁₃₉	C₂²	1	1	yes	characteristic
93	#386×C₁₃₉	C₂²	1	2	yes	—
94	#386×C₁₃₉	C₂²	1	2	yes	—
95	#386×C₁₃₉	C₂²	1	1	yes	characteristic
96	#386×C₁₃₉	C₂²	1	1	yes	characteristic
97	#386×C₁₃₉	C₂²	1	2	yes	—
98	#386×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
99	#386×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
100	#386×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
101	#386×C₁₃₉	C₂²	1	2	yes	complemented
102	#385×C₁₃₉	C₂²	1	2	yes	—
103	#385×C₁₃₉	C₂²	1	2	yes	—
104	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
105	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
106	#385×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
107	#385×C₁₃₉	C₂²	1	2	yes	complemented
108	#385×C₁₃₉	C₂²	1	2	yes	complemented
109	#385×C₁₃₉	C₂²	1	2	yes	complemented
110	#385×C₁₃₉	C₂²	1	2	yes	complemented
111	#381×C₁₃₉	C₂²	1	2	yes	—
112	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
113	#381×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
114	#380×C₁₃₉	C₂²	1	2	yes	—
115	#380×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
116	#379×C₁₃₉	C₂²	1	1	yes	characteristic
117	#379×C₁₃₉	C₂²	1	2	yes	—
118	C₄×C₄⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
119	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	—
120	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
121	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
122	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₂²⋊C₄×C₁₃₉	C₂²	1	2	yes	complemented
124	C₂×#95×C₁₃₉	C₂²	1	2	yes	—
125	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
126	C₂⁵×C₁₃₉	C₂³	1	1	yes	characteristic
127	C₂×#41×C₁₃₉	—	2	4	no	—
128	C₂×#41×C₁₃₉	—	2	4	no	—
129	C₂×#41×C₁₃₉	—	4	2	no	—
130	C₂²×Q₈×C₁₃₉	C₂³	1	1	yes	characteristic
131	C₂²×D₄×C₁₃₉	—	2	4	no	—
132	C₂²×D₄×C₁₃₉	—	2	4	no	—
133	C₂²×D₄×C₁₃₉	—	4	2	no	—
134	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
135	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
136	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
138	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
139	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
140	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
141	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
142	C₂²×D₄×C₁₃₉	C₂³	1	1	yes	characteristic
143	C₂³×C₄×C₁₃₉	—	2	4	no	—
144	C₂³×C₄×C₁₃₉	—	2	8	no	—
145	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
146	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
147	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
148	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
149	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
150	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
151	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
152	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
153	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
154	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
155	C₂³×C₄×C₁₃₉	C₂³	1	2	yes	—
156	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
157	C₂³×C₄×C₁₃₉	C₂³	1	1	yes	characteristic
158	#124×C₁₃₉	—	2	4	no	—
159	#123×C₁₃₉	—	2	4	no	—
160	#123×C₁₃₉	—	2	4	no	—
161	#123×C₁₃₉	—	2	8	no	—
162	#123×C₁₃₉	—	2	4	no	—
163	#123×C₁₃₉	—	4	2	no	—
164	#123×C₁₃₉	—	4	2	no	—
165	C₂²⋊Q₈×C₁₃₉	—	2	4	no	—
166	#121×C₁₃₉	—	2	4	no	—
167	#121×C₁₃₉	—	2	4	no	—
168	#121×C₁₃₉	—	2	4	no	—
169	#120×C₁₃₉	—	2	4	no	—
170	#120×C₁₃₉	—	2	4	no	—
171	C₄×D₄×C₁₃₉	—	2	4	no	—
172	C₄×D₄×C₁₃₉	—	2	4	no	—
173	#117×C₁₃₉	—	2	8	no	—
174	#117×C₁₃₉	—	2	8	no	—
175	#117×C₁₃₉	—	2	8	no	—
176	#117×C₁₃₉	—	2	8	no	—
177	#117×C₁₃₉	—	4	2	no	—
178	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
179	C₂×C₄⋊C₄×C₁₃₉	—	2	4	no	—
180	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
181	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
182	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
183	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
184	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
185	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
186	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
187	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
188	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
189	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
191	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
192	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
193	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
194	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
195	C₂×C₄⋊C₄×C₁₃₉	C₂³	1	2	yes	—
196	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
197	C₂×C₂²⋊C₄×C₁₃₉	—	2	8	no	—
198	C₂×C₂²⋊C₄×C₁₃₉	—	2	4	no	—
199	C₂×C₂²⋊C₄×C₁₃₉	—	4	2	no	—
200	C₂×C₂²⋊C₄×C₁₃₉	D₄	1	8	yes	—
201	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
202	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
204	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
205	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
207	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
208	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
213	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
214	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
215	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
216	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
217	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
218	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
219	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
220	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
221	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
222	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
223	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
224	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
225	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
226	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
227	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
228	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
229	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	2	yes	—
230	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊C₄×C₁₃₉	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃₉	—	2	4	no	—
235	C₂×C₄²×C₁₃₉	—	2	4	no	—
236	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
237	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
238	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
239	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
240	C₂×C₄²×C₁₃₉	C₂³	1	1	yes	characteristic
241	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
242	C₂×C₄²×C₁₃₉	C₂³	1	2	yes	—
243	#95×C₁₃₉	C₂³	1	2	yes	—
244	#95×C₁₃₉	C₂³	1	2	yes	—
245	#95×C₁₃₉	C₂³	1	2	yes	—
246	#95×C₁₃₉	C₂³	1	2	yes	—
247	#95×C₁₃₉	C₂³	1	2	yes	—
248	#95×C₁₃₉	C₂³	1	2	yes	—
249	#95×C₁₃₉	C₂³	1	2	yes	—
250	#95×C₁₃₉	C₂³	1	2	yes	—
251	#95×C₁₃₉	C₂³	1	2	yes	—
252	#95×C₁₃₉	C₂³	1	2	yes	—
253	#95×C₁₃₉	C₂³	1	2	yes	—
254	#95×C₁₃₉	C₂³	1	2	yes	—
255	#95×C₁₃₉	C₂³	1	2	yes	—
256	#95×C₁₃₉	C₂³	1	2	yes	—
257	#95×C₁₃₉	C₂³	1	2	yes	—
258	#95×C₁₃₉	C₂³	1	2	yes	—
259	#95×C₁₃₉	C₂³	1	2	yes	—
260	#95×C₁₃₉	C₂³	1	2	yes	—
261	C₂⁴×C₁₃₉	—	2	4	no	—
262	C₂⁴×C₁₃₉	—	2	2	no	—
263	C₂⁴×C₁₃₉	—	2	2	no	—
264	C₂⁴×C₁₃₉	—	2	2	no	—
265	C₂⁴×C₁₃₉	—	2	2	no	—
266	C₂⁴×C₁₃₉	—	2	4	no	—
267	C₂⁴×C₁₃₉	—	4	2	no	—
268	C₂⁴×C₁₃₉	—	4	1	no	—
269	C₂⁴×C₁₃₉	—	4	2	no	—
270	C₂⁴×C₁₃₉	C₂×D₄	1	4	yes	—
271	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
272	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
273	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
274	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
275	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
276	C₂⁴×C₁₃₉	C₂⁴	1	1	yes	characteristic
277	#41×C₁₃₉	—	4	16	no	—
278	C₂×Q₈×C₁₃₉	—	2	2	no	—
279	C₂×Q₈×C₁₃₉	—	2	2	no	—
280	C₂×Q₈×C₁₃₉	—	4	1	no	—
281	C₂×D₄×C₁₃₉	—	2	2	no	—
282	C₂×D₄×C₁₃₉	—	2	2	no	—
283	C₂×D₄×C₁₃₉	—	2	2	no	—
284	C₂×D₄×C₁₃₉	—	2	2	no	—
285	C₂×D₄×C₁₃₉	—	2	2	no	—
286	C₂×D₄×C₁₃₉	—	2	2	no	—
287	C₂×D₄×C₁₃₉	—	2	2	no	—
288	C₂×D₄×C₁₃₉	—	2	4	no	—
289	C₂×D₄×C₁₃₉	—	2	2	no	—
290	C₂×D₄×C₁₃₉	—	2	2	no	—
291	C₂×D₄×C₁₃₉	—	2	2	no	—
292	C₂×D₄×C₁₃₉	—	2	2	no	—
293	C₂×D₄×C₁₃₉	—	2	2	no	—
294	C₂×D₄×C₁₃₉	—	2	2	no	—
295	C₂×D₄×C₁₃₉	—	2	2	no	—
296	C₂×D₄×C₁₃₉	—	2	2	no	—
297	C₂×D₄×C₁₃₉	—	2	2	no	—
298	C₂×D₄×C₁₃₉	—	2	2	no	—
299	C₂×D₄×C₁₃₉	—	4	1	no	—
300	C₂×D₄×C₁₃₉	—	4	1	no	—
301	C₂×D₄×C₁₃₉	—	4	1	no	—
302	C₂×D₄×C₁₃₉	—	4	2	no	—
303	C₂×D₄×C₁₃₉	—	4	2	no	—
304	C₂×D₄×C₁₃₉	—	4	16	no	—
305	C₂×D₄×C₁₃₉	#41	1	4	yes	—
306	C₂²×C₄×C₁₃₉	—	2	32	no	—
307	C₂²×C₄×C₁₃₉	—	2	2	no	—
308	C₂²×C₄×C₁₃₉	—	2	2	no	—
309	C₂²×C₄×C₁₃₉	—	2	4	no	—
310	C₂²×C₄×C₁₃₉	—	2	4	no	—
311	C₂²×C₄×C₁₃₉	—	2	4	no	—
312	C₂²×C₄×C₁₃₉	—	2	2	no	—
313	C₂²×C₄×C₁₃₉	—	2	2	no	—
314	C₂²×C₄×C₁₃₉	—	2	4	no	—
315	C₂²×C₄×C₁₃₉	—	2	4	no	—
316	C₂²×C₄×C₁₃₉	—	2	4	no	—
317	C₂²×C₄×C₁₃₉	—	2	4	no	—
318	C₂²×C₄×C₁₃₉	—	2	2	no	—
319	C₂²×C₄×C₁₃₉	—	2	2	no	—
320	C₂²×C₄×C₁₃₉	—	2	2	no	—
321	C₂²×C₄×C₁₃₉	—	2	2	no	—
322	C₂²×C₄×C₁₃₉	—	2	2	no	—
323	C₂²×C₄×C₁₃₉	—	2	2	no	—
324	C₂²×C₄×C₁₃₉	—	2	4	no	—
325	C₂²×C₄×C₁₃₉	—	2	2	no	—
326	C₂²×C₄×C₁₃₉	—	2	2	no	—
327	C₂²×C₄×C₁₃₉	—	2	2	no	—
328	C₂²×C₄×C₁₃₉	—	2	2	no	—
329	C₂²×C₄×C₁₃₉	—	2	2	no	—
330	C₂²×C₄×C₁₃₉	—	4	2	no	—
331	C₂²×C₄×C₁₃₉	—	4	2	no	—
332	C₂²×C₄×C₁₃₉	—	4	1	no	—
333	C₂²×C₄×C₁₃₉	—	4	1	no	—
334	C₂²×C₄×C₁₃₉	—	4	1	no	—
335	C₂²×C₄×C₁₃₉	—	4	2	no	—
336	C₂²×C₄×C₁₃₉	—	4	2	no	—
337	C₂²×C₄×C₁₃₉	—	4	2	no	—
338	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
339	C₂²×C₄×C₁₃₉	C₂×D₄	1	4	yes	—
340	C₂²×C₄×C₁₃₉	#41	1	8	yes	complemented
341	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
342	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
343	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
344	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
345	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
346	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
347	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
349	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
350	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
351	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
354	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃₉	C₂⁴	1	1	yes	characteristic
356	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
357	C₂²×C₄×C₁₃₉	C₂⁴	1	2	yes	—
358	C₄⋊C₄×C₁₃₉	—	2	4	no	—
359	C₄⋊C₄×C₁₃₉	—	2	4	no	—
360	C₄⋊C₄×C₁₃₉	—	2	4	no	—
361	C₄⋊C₄×C₁₃₉	—	2	4	no	—
362	C₄⋊C₄×C₁₃₉	—	2	2	no	—
363	C₄⋊C₄×C₁₃₉	—	2	2	no	—
364	C₄⋊C₄×C₁₃₉	—	2	2	no	—
365	C₄⋊C₄×C₁₃₉	—	2	2	no	—
366	C₄⋊C₄×C₁₃₉	—	2	4	no	—
367	C₄⋊C₄×C₁₃₉	—	2	4	no	—
368	C₄⋊C₄×C₁₃₉	—	2	4	no	—
369	C₄⋊C₄×C₁₃₉	—	4	2	no	—
370	C₄⋊C₄×C₁₃₉	—	4	2	no	—
371	C₄⋊C₄×C₁₃₉	—	4	2	no	—
372	C₄⋊C₄×C₁₃₉	—	4	2	no	—
373	C₄⋊C₄×C₁₃₉	—	4	2	no	—
374	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
375	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
376	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
377	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
378	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
379	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
380	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
381	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
382	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
383	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
384	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
385	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
386	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
387	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
388	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
389	C₂²⋊C₄×C₁₃₉	—	2	2	no	—
390	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
391	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
392	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
393	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
394	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
395	C₂²⋊C₄×C₁₃₉	—	2	4	no	—
396	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
397	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
398	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
399	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
400	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
401	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
402	C₂²⋊C₄×C₁₃₉	—	4	2	no	—
403	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
404	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
405	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
406	C₂²⋊C₄×C₁₃₉	C₂×D₄	1	4	yes	—
407	C₄²×C₁₃₉	—	2	4	no	—
408	C₄²×C₁₃₉	—	2	4	no	—
409	C₄²×C₁₃₉	—	2	4	no	—
410	C₄²×C₁₃₉	—	2	4	no	—
411	C₄²×C₁₃₉	—	2	2	no	—
412	C₄²×C₁₃₉	—	4	2	no	—
413	C₄²×C₁₃₉	—	4	2	no	—
414	C₂³×C₁₃₉	—	2	2	no	—
415	C₂³×C₁₃₉	—	2	1	no	—
416	C₂³×C₁₃₉	—	2	1	no	—
417	C₂³×C₁₃₉	—	2	2	no	—
418	C₂³×C₁₃₉	—	2	2	no	—
419	C₂³×C₁₃₉	—	2	8	no	—
420	C₂³×C₁₃₉	—	2	8	no	—
421	C₂³×C₁₃₉	—	2	1	no	—
422	C₂³×C₁₃₉	—	2	2	no	—
423	C₂³×C₁₃₉	—	2	2	no	—
424	C₂³×C₁₃₉	—	2	1	no	—
425	C₂³×C₁₃₉	—	2	1	no	—
426	C₂³×C₁₃₉	—	2	1	no	—
427	C₂³×C₁₃₉	—	2	2	no	—
428	C₂³×C₁₃₉	—	2	2	no	—
429	C₂³×C₁₃₉	—	2	1	no	—
430	C₂³×C₁₃₉	—	2	1	no	—
431	C₂³×C₁₃₉	—	2	2	no	—
432	C₂³×C₁₃₉	—	2	2	no	—
433	C₂³×C₁₃₉	—	2	1	no	—
434	C₂³×C₁₃₉	—	2	1	no	—
435	C₂³×C₁₃₉	—	2	1	no	—
436	C₂³×C₁₃₉	—	2	1	no	—
437	C₂³×C₁₃₉	—	2	2	no	—
438	C₂³×C₁₃₉	—	2	2	no	—
439	C₂³×C₁₃₉	—	4	4	no	—
440	C₂³×C₁₃₉	—	4	8	no	—
441	C₂³×C₁₃₉	—	4	8	no	—
442	C₂³×C₁₃₉	—	4	4	no	—
443	C₂³×C₁₃₉	—	4	8	no	—
444	C₂³×C₁₃₉	—	4	4	no	—
445	C₂³×C₁₃₉	—	8	2	no	—
446	C₂³×C₁₃₉	—	8	4	no	—
447	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
448	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
449	C₂³×C₁₃₉	C₂²×D₄	1	2	yes	—
450	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
451	C₂³×C₁₃₉	C₂×#41	1	4	yes	—
452	C₂³×C₁₃₉	C₂×#41	1	2	yes	—
453	C₂³×C₁₃₉	H(5,𝔽₂)	1	2	yes	—
454	C₂³×C₁₃₉	C₂⁵	1	1	yes	characteristic
455	Q₈×C₁₃₉	—	4	4	no	—
456	D₄×C₁₃₉	—	2	8	no	—
457	D₄×C₁₃₉	—	4	4	no	—
458	D₄×C₁₃₉	—	4	4	no	—
459	D₄×C₁₃₉	—	4	4	no	—
460	D₄×C₁₃₉	—	4	4	no	—
461	D₄×C₁₃₉	—	4	4	no	—
462	D₄×C₁₃₉	—	4	4	no	—
463	D₄×C₁₃₉	—	8	2	no	—
464	D₄×C₁₃₉	—	8	2	no	—
465	C₂×C₄×C₁₃₉	—	2	8	no	—
466	C₂×C₄×C₁₃₉	—	2	8	no	—
467	C₂×C₄×C₁₃₉	—	2	16	no	—
468	C₂×C₄×C₁₃₉	—	2	16	no	—
469	C₂×C₄×C₁₃₉	—	2	8	no	—
470	C₂×C₄×C₁₃₉	—	2	2	no	—
471	C₂×C₄×C₁₃₉	—	2	1	no	—
472	C₂×C₄×C₁₃₉	—	2	2	no	—
473	C₂×C₄×C₁₃₉	—	2	2	no	—
474	C₂×C₄×C₁₃₉	—	2	2	no	—
475	C₂×C₄×C₁₃₉	—	2	1	no	—
476	C₂×C₄×C₁₃₉	—	2	1	no	—
477	C₂×C₄×C₁₃₉	—	2	1	no	—
478	C₂×C₄×C₁₃₉	—	2	1	no	—
479	C₂×C₄×C₁₃₉	—	2	1	no	—
480	C₂×C₄×C₁₃₉	—	2	2	no	—
481	C₂×C₄×C₁₃₉	—	2	2	no	—
482	C₂×C₄×C₁₃₉	—	2	2	no	—
483	C₂×C₄×C₁₃₉	—	2	2	no	—
484	C₂×C₄×C₁₃₉	—	2	1	no	—
485	C₂×C₄×C₁₃₉	—	2	1	no	—
486	C₂×C₄×C₁₃₉	—	2	1	no	—
487	C₂×C₄×C₁₃₉	—	2	1	no	—
488	C₂×C₄×C₁₃₉	—	2	2	no	—
489	C₂×C₄×C₁₃₉	—	2	2	no	—
490	C₂×C₄×C₁₃₉	—	2	2	no	—
491	C₂×C₄×C₁₃₉	—	2	2	no	—
492	C₂×C₄×C₁₃₉	—	2	2	no	—
493	C₂×C₄×C₁₃₉	—	2	2	no	—
494	C₂×C₄×C₁₃₉	—	2	2	no	—
495	C₂×C₄×C₁₃₉	—	2	1	no	—
496	C₂×C₄×C₁₃₉	—	2	1	no	—
497	C₂×C₄×C₁₃₉	—	2	2	no	—
498	C₂×C₄×C₁₃₉	—	2	2	no	—
499	C₂×C₄×C₁₃₉	—	2	2	no	—
500	C₂×C₄×C₁₃₉	—	2	2	no	—
501	C₂×C₄×C₁₃₉	—	2	1	no	—
502	C₂×C₄×C₁₃₉	—	2	1	no	—
503	C₂×C₄×C₁₃₉	—	2	2	no	—
504	C₂×C₄×C₁₃₉	—	2	2	no	—
505	C₂×C₄×C₁₃₉	—	2	2	no	—
506	C₂×C₄×C₁₃₉	—	2	2	no	—
507	C₂×C₄×C₁₃₉	—	2	2	no	—
508	C₂×C₄×C₁₃₉	—	2	2	no	—
509	C₂×C₄×C₁₃₉	—	2	2	no	—
510	C₂×C₄×C₁₃₉	—	4	4	no	—
511	C₂×C₄×C₁₃₉	—	4	4	no	—
512	C₂×C₄×C₁₃₉	—	4	4	no	—
513	C₂×C₄×C₁₃₉	—	4	4	no	—
514	C₂×C₄×C₁₃₉	—	4	4	no	—
515	C₂×C₄×C₁₃₉	—	4	4	no	—
516	C₂×C₄×C₁₃₉	—	8	2	no	—
517	C₂×C₄×C₁₃₉	—	8	4	no	—
518	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
519	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
520	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
521	C₂×C₄×C₁₃₉	C₂²×D₄	1	2	yes	—
522	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
523	C₂×C₄×C₁₃₉	C₂×#41	1	4	yes	—
524	C₂×C₄×C₁₃₉	C₂×#41	1	2	yes	—
525	C₂²×C₁₃₉	—	2	2	no	—
526	C₂²×C₁₃₉	—	2	2	no	—
527	C₂²×C₁₃₉	—	2	4	no	—
528	C₂²×C₁₃₉	—	2	4	no	—
529	C₂²×C₁₃₉	—	2	2	no	—
530	C₂²×C₁₃₉	—	2	2	no	—
531	C₂²×C₁₃₉	—	2	4	no	—
532	C₂²×C₁₃₉	—	2	4	no	—
533	C₂²×C₁₃₉	—	2	2	no	—
534	C₂²×C₁₃₉	—	2	2	no	—
535	C₂²×C₁₃₉	—	2	2	no	—
536	C₂²×C₁₃₉	—	2	4	no	—
537	C₂²×C₁₃₉	—	2	2	no	—
538	C₂²×C₁₃₉	—	4	16	no	—
539	C₂²×C₁₃₉	—	4	1	no	—
540	C₂²×C₁₃₉	—	4	2	no	—
541	C₂²×C₁₃₉	—	4	1	no	—
542	C₂²×C₁₃₉	—	4	2	no	—
543	C₂²×C₁₃₉	—	4	2	no	—
544	C₂²×C₁₃₉	—	4	1	no	—
545	C₂²×C₁₃₉	—	4	1	no	—
546	C₂²×C₁₃₉	—	4	1	no	—
547	C₂²×C₁₃₉	—	4	1	no	—
548	C₂²×C₁₃₉	—	4	2	no	—
549	C₂²×C₁₃₉	—	4	2	no	—
550	C₂²×C₁₃₉	—	4	1	no	—
551	C₂²×C₁₃₉	—	4	1	no	—
552	C₂²×C₁₃₉	—	4	2	no	—
553	C₂²×C₁₃₉	—	4	2	no	—
554	C₂²×C₁₃₉	—	8	8	no	—
555	C₂²×C₁₃₉	#525	1	4	yes	—
556	C₂²×C₁₃₉	#546	1	4	yes	—
557	C₂²×C₁₃₉	C₂³×D₄	1	1	yes	characteristic
558	C₂²×C₁₃₉	C₂²×#41	1	2	yes	—
559	C₂²×C₁₃₉	C₂²×#41	1	1	yes	characteristic
560	C₂²×C₁₃₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
561	C₂²×C₁₃₉	#585	1	2	yes	—
562	C₄×C₁₃₉	—	2	4	no	—
563	C₄×C₁₃₉	—	2	4	no	—
564	C₄×C₁₃₉	—	2	2	no	—
565	C₄×C₁₃₉	—	2	2	no	—
566	C₄×C₁₃₉	—	2	2	no	—
567	C₄×C₁₃₉	—	2	2	no	—
568	C₄×C₁₃₉	—	2	2	no	—
569	C₄×C₁₃₉	—	4	1	no	—
570	C₄×C₁₃₉	—	4	2	no	—
571	C₄×C₁₃₉	—	4	1	no	—
572	C₄×C₁₃₉	—	4	1	no	—
573	C₄×C₁₃₉	—	4	2	no	—
574	C₄×C₁₃₉	—	4	2	no	—
575	C₄×C₁₃₉	—	4	1	no	—
576	C₄×C₁₃₉	—	4	2	no	—
577	C₄×C₁₃₉	—	4	2	no	—
578	C₄×C₁₃₉	—	4	2	no	—
579	C₂×C₁₃₉	—	2	4	no	—
580	C₂×C₁₃₉	—	2	4	no	—
581	C₂×C₁₃₉	—	4	2	no	—
582	C₂×C₁₃₉	—	4	2	no	—
583	C₂×C₁₃₉	—	8	1	no	—
584	C₂×C₁₃₉	—	8	1	no	—
585	C₂×C₁₃₉	C₂×#525	1	1	yes	characteristic
586	C₂×C₁₃₉	C₂×#546	1	1	yes	characteristic
587	C₂×C₁₃₉	#3475	1	2	yes	—
588	C₂×C₁₃₉	#3485	1	1	yes	characteristic
589	C₂×C₁₃₉	#3494	1	2	yes	—
590	#36340	C₁₃₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
591	C₁₃₉	#36340	1	1	yes	characteristic, direct product factor, Sylow
592	C₂×#546	C₂×C₁₃₉	1	1	yes	characteristic
593	C₂²×#117	C₂×C₁₃₉	1	1	yes	characteristic, complemented
594	#2854	C₂×C₁₃₉	1	1	yes	characteristic, complemented
595	#2853	C₂×C₁₃₉	1	1	yes	characteristic, complemented
596	#2849	C₂×C₁₃₉	1	1	yes	characteristic, complemented
597	#2591	C₂×C₁₃₉	1	1	yes	characteristic, complemented
598	#2579	C₂×C₁₃₉	1	1	yes	characteristic, complemented
599	#2476	C₂×C₁₃₉	1	2	yes	complemented
600	#2476	C₂×C₁₃₉	1	2	yes	complemented
601	#2474	C₂×C₁₃₉	1	2	yes	complemented
602	#2470	C₂×C₁₃₉	1	2	yes	complemented
603	#2438	C₂×C₁₃₉	1	2	yes	complemented
604	#2413	C₂×C₁₃₉	1	1	yes	characteristic, complemented
605	#2412	C₂×C₁₃₉	1	1	yes	characteristic, complemented
606	#2411	C₂×C₁₃₉	1	2	yes	complemented
607	#2406	C₂×C₁₃₉	1	1	yes	characteristic, complemented
608	#2405	C₂×C₁₃₉	1	1	yes	characteristic, complemented
609	#2359	C₂×C₁₃₉	1	2	yes	complemented
610	#2342	C₂×C₁₃₉	1	2	yes	complemented
611	#2342	C₂×C₁₃₉	1	1	yes	characteristic, complemented
612	C₄×#123	C₂×C₁₃₉	1	1	yes	characteristic, complemented
613	#2297	C₂×C₁₃₉	1	1	yes	characteristic, complemented
614	C₂×#386	C₂×C₁₃₉	1	1	yes	characteristic, complemented
615	C₂²×#41	C₂²×C₁₃₉	1	1	yes	characteristic
616	C₂³×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
617	C₂⁴×C₄	C₂²×C₁₃₉	1	1	yes	characteristic
618	#546	—	2	8	no	—
619	C₂×#124	C₂²×C₁₃₉	1	1	yes	characteristic
620	C₂×#123	C₂²×C₁₃₉	1	2	yes	—
621	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
622	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
623	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
624	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic
625	C₂×#123	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
626	C₂×C₂²⋊Q₈	C₂²×C₁₃₉	1	1	yes	characteristic
627	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
628	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
629	C₂×#121	C₂²×C₁₃₉	1	1	yes	characteristic
630	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
631	C₂×#120	C₂²×C₁₃₉	1	1	yes	characteristic
632	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
633	C₂×C₄×D₄	C₂²×C₁₃₉	1	1	yes	characteristic
634	C₂×#117	—	2	8	no	—
635	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
636	C₂×#117	C₂²×C₁₃₉	1	2	yes	—
637	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
638	C₂×#117	C₂²×C₁₃₉	1	2	yes	complemented
639	C₂×#117	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
640	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
641	C₂²×C₄⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
642	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
643	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
644	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
645	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
646	C₂²×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic
647	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
648	C₂²×C₄²	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
649	#400	C₂²×C₁₃₉	1	2	yes	complemented
650	#398	C₂²×C₁₃₉	1	2	yes	complemented
651	#398	C₂²×C₁₃₉	1	2	yes	complemented
652	#397	C₂²×C₁₃₉	1	2	yes	complemented
653	#396	C₂²×C₁₃₉	1	2	yes	complemented
654	#396	C₂²×C₁₃₉	1	2	yes	complemented
655	#395	C₂²×C₁₃₉	1	2	yes	complemented
656	#394	C₂²×C₁₃₉	1	2	yes	—
657	#394	C₂²×C₁₃₉	1	2	yes	—
658	#394	C₂²×C₁₃₉	1	2	yes	complemented
659	#394	C₂²×C₁₃₉	1	2	yes	complemented
660	#394	C₂²×C₁₃₉	1	2	yes	complemented
661	#391	C₂²×C₁₃₉	1	2	yes	complemented
662	#390	C₂²×C₁₃₉	1	2	yes	complemented
663	#390	C₂²×C₁₃₉	1	2	yes	complemented
664	#389	C₂²×C₁₃₉	1	2	yes	complemented
665	#389	C₂²×C₁₃₉	1	2	yes	complemented
666	#388	C₂²×C₁₃₉	1	2	yes	complemented
667	#388	C₂²×C₁₃₉	1	2	yes	complemented
668	#388	C₂²×C₁₃₉	1	2	yes	complemented
669	#388	C₂²×C₁₃₉	1	2	yes	complemented
670	#388	C₂²×C₁₃₉	1	2	yes	complemented
671	#388	C₂²×C₁₃₉	1	2	yes	complemented
672	#388	C₂²×C₁₃₉	1	2	yes	complemented
673	#388	C₂²×C₁₃₉	1	2	yes	complemented
674	#388	C₂²×C₁₃₉	1	2	yes	complemented
675	#388	C₂²×C₁₃₉	1	2	yes	complemented
676	#387	C₂²×C₁₃₉	1	2	yes	complemented
677	#387	C₂²×C₁₃₉	1	2	yes	complemented
678	#387	C₂²×C₁₃₉	1	2	yes	complemented
679	#387	C₂²×C₁₃₉	1	2	yes	complemented
680	#386	C₂²×C₁₃₉	1	1	yes	characteristic
681	#386	C₂²×C₁₃₉	1	1	yes	characteristic
682	#386	C₂²×C₁₃₉	1	1	yes	characteristic
683	#386	C₂²×C₁₃₉	1	1	yes	characteristic
684	#386	C₂²×C₁₃₉	1	1	yes	characteristic
685	#386	C₂²×C₁₃₉	1	2	yes	—
686	#386	C₂²×C₁₃₉	1	2	yes	—
687	#386	C₂²×C₁₃₉	1	2	yes	—
688	#386	C₂²×C₁₃₉	1	1	yes	characteristic
689	#386	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
690	#386	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
691	#386	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
692	#386	C₂²×C₁₃₉	1	2	yes	complemented
693	#385	C₂²×C₁₃₉	1	2	yes	—
694	#385	C₂²×C₁₃₉	1	2	yes	—
695	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
696	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
697	#385	C₂²×C₁₃₉	1	2	yes	complemented
698	#385	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
699	#385	C₂²×C₁₃₉	1	2	yes	complemented
700	#385	C₂²×C₁₃₉	1	2	yes	complemented
701	#385	C₂²×C₁₃₉	1	2	yes	complemented
702	#381	C₂²×C₁₃₉	1	2	yes	—
703	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
704	#381	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
705	#380	C₂²×C₁₃₉	1	2	yes	—
706	#380	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
707	#379	C₂²×C₁₃₉	1	1	yes	characteristic
708	#379	C₂²×C₁₃₉	1	2	yes	—
709	C₄×C₄⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
710	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	—
711	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	1	yes	characteristic, complemented
712	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
713	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
714	C₄×C₂²⋊C₄	C₂²×C₁₃₉	1	2	yes	complemented
715	C₂×#95	C₂²×C₁₃₉	1	2	yes	—
716	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
717	C₂⁵	C₂³×C₁₃₉	1	1	yes	characteristic
718	C₂×#41	—	2	4	no	—
719	C₂×#41	—	2	4	no	—
720	C₂×#41	—	4	2	no	—
721	C₂²×Q₈	C₂³×C₁₃₉	1	1	yes	characteristic
722	C₂²×D₄	—	2	4	no	—
723	C₂²×D₄	—	2	4	no	—
724	C₂²×D₄	—	4	2	no	—
725	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
726	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
727	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
728	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
729	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
730	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
731	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
732	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
733	C₂²×D₄	C₂³×C₁₃₉	1	1	yes	characteristic
734	C₂³×C₄	—	2	4	no	—
735	C₂³×C₄	—	2	8	no	—
736	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
737	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
738	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
739	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
740	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
741	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
742	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
743	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
744	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
745	C₂³×C₄	C₂³×C₁₃₉	1	2	yes	—
746	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
747	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
748	C₂³×C₄	C₂³×C₁₃₉	1	1	yes	characteristic
749	#124	—	2	4	no	—
750	#123	—	2	4	no	—
751	#123	—	2	4	no	—
752	#123	—	2	8	no	—
753	#123	—	2	4	no	—
754	#123	—	4	2	no	—
755	#123	—	4	2	no	—
756	C₂²⋊Q₈	—	2	4	no	—
757	#121	—	2	4	no	—
758	#121	—	2	4	no	—
759	#121	—	2	4	no	—
760	#120	—	2	4	no	—
761	#120	—	2	4	no	—
762	C₄×D₄	—	2	4	no	—
763	C₄×D₄	—	2	4	no	—
764	#117	—	2	8	no	—
765	#117	—	2	8	no	—
766	#117	—	2	8	no	—
767	#117	—	2	8	no	—
768	#117	—	4	2	no	—
769	C₂×C₄⋊C₄	—	2	4	no	—
770	C₂×C₄⋊C₄	—	2	4	no	—
771	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
772	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
773	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
774	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
775	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
780	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
781	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
782	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
783	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
784	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
785	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
786	C₂×C₄⋊C₄	C₂³×C₁₃₉	1	2	yes	—
787	C₂×C₂²⋊C₄	—	2	4	no	—
788	C₂×C₂²⋊C₄	—	2	8	no	—
789	C₂×C₂²⋊C₄	—	2	4	no	—
790	C₂×C₂²⋊C₄	—	4	2	no	—
791	C₂×C₂²⋊C₄	D₄×C₁₃₉	1	8	yes	—
792	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
793	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
794	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
795	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
796	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
797	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
798	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
799	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
800	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
801	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
802	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
803	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
804	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
805	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
806	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
807	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
808	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
809	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
810	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
811	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
812	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
813	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
814	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
815	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
816	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
817	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
818	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
819	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
820	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	2	yes	—
821	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	C₂³×C₁₃₉	1	1	yes	characteristic
825	C₂×C₄²	—	2	4	no	—
826	C₂×C₄²	—	2	4	no	—
827	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
828	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
829	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
830	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
831	C₂×C₄²	C₂³×C₁₃₉	1	1	yes	characteristic
832	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
833	C₂×C₄²	C₂³×C₁₃₉	1	2	yes	—
834	#95	C₂³×C₁₃₉	1	2	yes	—
835	#95	C₂³×C₁₃₉	1	2	yes	—
836	#95	C₂³×C₁₃₉	1	2	yes	—
837	#95	C₂³×C₁₃₉	1	2	yes	—
838	#95	C₂³×C₁₃₉	1	2	yes	—
839	#95	C₂³×C₁₃₉	1	2	yes	—
840	#95	C₂³×C₁₃₉	1	2	yes	—
841	#95	C₂³×C₁₃₉	1	2	yes	—
842	#95	C₂³×C₁₃₉	1	2	yes	—
843	#95	C₂³×C₁₃₉	1	2	yes	—
844	#95	C₂³×C₁₃₉	1	2	yes	—
845	#95	C₂³×C₁₃₉	1	2	yes	—
846	#95	C₂³×C₁₃₉	1	2	yes	—
847	#95	C₂³×C₁₃₉	1	2	yes	—
848	#95	C₂³×C₁₃₉	1	2	yes	—
849	#95	C₂³×C₁₃₉	1	2	yes	—
850	#95	C₂³×C₁₃₉	1	2	yes	—
851	#95	C₂³×C₁₃₉	1	2	yes	—
852	C₂⁴	—	2	4	no	—
853	C₂⁴	—	2	2	no	—
854	C₂⁴	—	2	2	no	—
855	C₂⁴	—	2	2	no	—
856	C₂⁴	—	2	2	no	—
857	C₂⁴	—	2	4	no	—
858	C₂⁴	—	4	2	no	—
859	C₂⁴	—	4	1	no	—
860	C₂⁴	—	4	2	no	—
861	C₂⁴	C₂×D₄×C₁₃₉	1	4	yes	—
862	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
863	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
864	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
865	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
866	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
867	C₂⁴	C₂⁴×C₁₃₉	1	1	yes	characteristic
868	#41	—	4	16	no	—
869	C₂×Q₈	—	2	2	no	—
870	C₂×Q₈	—	2	2	no	—
871	C₂×Q₈	—	4	1	no	—
872	C₂×D₄	—	2	2	no	—
873	C₂×D₄	—	2	2	no	—
874	C₂×D₄	—	2	2	no	—
875	C₂×D₄	—	2	2	no	—
876	C₂×D₄	—	2	2	no	—
877	C₂×D₄	—	2	2	no	—
878	C₂×D₄	—	2	2	no	—
879	C₂×D₄	—	2	4	no	—
880	C₂×D₄	—	2	2	no	—
881	C₂×D₄	—	2	2	no	—
882	C₂×D₄	—	2	2	no	—
883	C₂×D₄	—	2	2	no	—
884	C₂×D₄	—	2	2	no	—
885	C₂×D₄	—	2	2	no	—
886	C₂×D₄	—	2	2	no	—
887	C₂×D₄	—	2	2	no	—
888	C₂×D₄	—	2	2	no	—
889	C₂×D₄	—	2	2	no	—
890	C₂×D₄	—	4	1	no	—
891	C₂×D₄	—	4	1	no	—
892	C₂×D₄	—	4	1	no	—
893	C₂×D₄	—	4	2	no	—
894	C₂×D₄	—	4	2	no	—
895	C₂×D₄	—	4	16	no	—
896	C₂×D₄	#41×C₁₃₉	1	4	yes	—
897	C₂²×C₄	—	2	32	no	—
898	C₂²×C₄	—	2	2	no	—
899	C₂²×C₄	—	2	2	no	—
900	C₂²×C₄	—	2	4	no	—
901	C₂²×C₄	—	2	4	no	—
902	C₂²×C₄	—	2	4	no	—
903	C₂²×C₄	—	2	2	no	—
904	C₂²×C₄	—	2	2	no	—
905	C₂²×C₄	—	2	4	no	—
906	C₂²×C₄	—	2	4	no	—
907	C₂²×C₄	—	2	4	no	—
908	C₂²×C₄	—	2	4	no	—
909	C₂²×C₄	—	2	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	2	no	—
913	C₂²×C₄	—	2	2	no	—
914	C₂²×C₄	—	2	2	no	—
915	C₂²×C₄	—	2	4	no	—
916	C₂²×C₄	—	2	2	no	—
917	C₂²×C₄	—	2	2	no	—
918	C₂²×C₄	—	2	2	no	—
919	C₂²×C₄	—	2	2	no	—
920	C₂²×C₄	—	2	2	no	—
921	C₂²×C₄	—	4	2	no	—
922	C₂²×C₄	—	4	2	no	—
923	C₂²×C₄	—	4	1	no	—
924	C₂²×C₄	—	4	1	no	—
925	C₂²×C₄	—	4	1	no	—
926	C₂²×C₄	—	4	2	no	—
927	C₂²×C₄	—	4	2	no	—
928	C₂²×C₄	—	4	2	no	—
929	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
930	C₂²×C₄	C₂×D₄×C₁₃₉	1	4	yes	—
931	C₂²×C₄	#41×C₁₃₉	1	8	yes	complemented
932	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
933	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
934	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
935	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
936	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
937	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
938	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
939	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
940	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
941	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
942	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
943	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
944	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
945	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
946	C₂²×C₄	C₂⁴×C₁₃₉	1	1	yes	characteristic
947	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
948	C₂²×C₄	C₂⁴×C₁₃₉	1	2	yes	—
949	C₄⋊C₄	—	2	4	no	—
950	C₄⋊C₄	—	2	4	no	—
951	C₄⋊C₄	—	2	4	no	—
952	C₄⋊C₄	—	2	4	no	—
953	C₄⋊C₄	—	2	2	no	—
954	C₄⋊C₄	—	2	2	no	—
955	C₄⋊C₄	—	2	2	no	—
956	C₄⋊C₄	—	2	2	no	—
957	C₄⋊C₄	—	2	4	no	—
958	C₄⋊C₄	—	2	4	no	—
959	C₄⋊C₄	—	2	4	no	—
960	C₄⋊C₄	—	4	2	no	—
961	C₄⋊C₄	—	4	2	no	—
962	C₄⋊C₄	—	4	2	no	—
963	C₄⋊C₄	—	4	2	no	—
964	C₄⋊C₄	—	4	2	no	—
965	C₂²⋊C₄	—	2	4	no	—
966	C₂²⋊C₄	—	2	4	no	—
967	C₂²⋊C₄	—	2	2	no	—
968	C₂²⋊C₄	—	2	2	no	—
969	C₂²⋊C₄	—	2	2	no	—
970	C₂²⋊C₄	—	2	4	no	—
971	C₂²⋊C₄	—	2	2	no	—
972	C₂²⋊C₄	—	2	4	no	—
973	C₂²⋊C₄	—	2	2	no	—
974	C₂²⋊C₄	—	2	2	no	—
975	C₂²⋊C₄	—	2	2	no	—
976	C₂²⋊C₄	—	2	2	no	—
977	C₂²⋊C₄	—	2	2	no	—
978	C₂²⋊C₄	—	2	2	no	—
979	C₂²⋊C₄	—	2	2	no	—
980	C₂²⋊C₄	—	2	2	no	—
981	C₂²⋊C₄	—	2	4	no	—
982	C₂²⋊C₄	—	2	4	no	—
983	C₂²⋊C₄	—	2	4	no	—
984	C₂²⋊C₄	—	2	4	no	—
985	C₂²⋊C₄	—	2	4	no	—
986	C₂²⋊C₄	—	2	4	no	—
987	C₂²⋊C₄	—	4	2	no	—
988	C₂²⋊C₄	—	4	2	no	—
989	C₂²⋊C₄	—	4	2	no	—
990	C₂²⋊C₄	—	4	2	no	—
991	C₂²⋊C₄	—	4	2	no	—
992	C₂²⋊C₄	—	4	2	no	—
993	C₂²⋊C₄	—	4	2	no	—
994	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
995	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
996	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
997	C₂²⋊C₄	C₂×D₄×C₁₃₉	1	4	yes	—
998	C₄²	—	2	4	no	—
999	C₄²	—	2	4	no	—
1000	C₄²	—	2	4	no	—
1001	C₄²	—	2	4	no	—
1002	C₄²	—	2	2	no	—
1003	C₄²	—	4	2	no	—
1004	C₄²	—	4	2	no	—
1005	C₂³	—	2	2	no	—
1006	C₂³	—	2	1	no	—
1007	C₂³	—	2	1	no	—
1008	C₂³	—	2	2	no	—
1009	C₂³	—	2	2	no	—
1010	C₂³	—	2	8	no	—
1011	C₂³	—	2	8	no	—
1012	C₂³	—	2	1	no	—
1013	C₂³	—	2	2	no	—
1014	C₂³	—	2	2	no	—
1015	C₂³	—	2	1	no	—
1016	C₂³	—	2	1	no	—
1017	C₂³	—	2	1	no	—
1018	C₂³	—	2	2	no	—
1019	C₂³	—	2	2	no	—
1020	C₂³	—	2	1	no	—
1021	C₂³	—	2	1	no	—
1022	C₂³	—	2	2	no	—
1023	C₂³	—	2	2	no	—
1024	C₂³	—	2	1	no	—
1025	C₂³	—	2	1	no	—
1026	C₂³	—	2	1	no	—
1027	C₂³	—	2	1	no	—
1028	C₂³	—	2	2	no	—
1029	C₂³	—	2	2	no	—
1030	C₂³	—	4	4	no	—
1031	C₂³	—	4	8	no	—
1032	C₂³	—	4	8	no	—
1033	C₂³	—	4	4	no	—
1034	C₂³	—	4	8	no	—
1035	C₂³	—	4	4	no	—
1036	C₂³	—	8	2	no	—
1037	C₂³	—	8	4	no	—
1038	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1039	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1040	C₂³	C₂²×D₄×C₁₃₉	1	2	yes	—
1041	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1042	C₂³	C₂×#41×C₁₃₉	1	4	yes	—
1043	C₂³	C₂×#41×C₁₃₉	1	2	yes	—
1044	C₂³	H(5,𝔽₂)×C₁₃₉	1	2	yes	—
1045	C₂³	C₂⁵×C₁₃₉	1	1	yes	characteristic
1046	Q₈	—	4	4	no	—
1047	D₄	—	2	8	no	—
1048	D₄	—	4	4	no	—
1049	D₄	—	4	4	no	—
1050	D₄	—	4	4	no	—
1051	D₄	—	4	4	no	—
1052	D₄	—	4	4	no	—
1053	D₄	—	4	4	no	—
1054	D₄	—	8	2	no	—
1055	D₄	—	8	2	no	—
1056	C₂×C₄	—	2	8	no	—
1057	C₂×C₄	—	2	8	no	—
1058	C₂×C₄	—	2	16	no	—
1059	C₂×C₄	—	2	16	no	—
1060	C₂×C₄	—	2	8	no	—
1061	C₂×C₄	—	2	2	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	2	no	—
1064	C₂×C₄	—	2	2	no	—
1065	C₂×C₄	—	2	2	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	2	1	no	—
1069	C₂×C₄	—	2	1	no	—
1070	C₂×C₄	—	2	1	no	—
1071	C₂×C₄	—	2	2	no	—
1072	C₂×C₄	—	2	2	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	1	no	—
1076	C₂×C₄	—	2	1	no	—
1077	C₂×C₄	—	2	1	no	—
1078	C₂×C₄	—	2	1	no	—
1079	C₂×C₄	—	2	2	no	—
1080	C₂×C₄	—	2	2	no	—
1081	C₂×C₄	—	2	2	no	—
1082	C₂×C₄	—	2	2	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	2	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	2	no	—
1089	C₂×C₄	—	2	2	no	—
1090	C₂×C₄	—	2	2	no	—
1091	C₂×C₄	—	2	2	no	—
1092	C₂×C₄	—	2	1	no	—
1093	C₂×C₄	—	2	1	no	—
1094	C₂×C₄	—	2	2	no	—
1095	C₂×C₄	—	2	2	no	—
1096	C₂×C₄	—	2	2	no	—
1097	C₂×C₄	—	2	2	no	—
1098	C₂×C₄	—	2	2	no	—
1099	C₂×C₄	—	2	2	no	—
1100	C₂×C₄	—	2	2	no	—
1101	C₂×C₄	—	4	4	no	—
1102	C₂×C₄	—	4	4	no	—
1103	C₂×C₄	—	4	4	no	—
1104	C₂×C₄	—	4	4	no	—
1105	C₂×C₄	—	4	4	no	—
1106	C₂×C₄	—	4	4	no	—
1107	C₂×C₄	—	8	2	no	—
1108	C₂×C₄	—	8	4	no	—
1109	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1110	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1111	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1112	C₂×C₄	C₂²×D₄×C₁₃₉	1	2	yes	—
1113	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1114	C₂×C₄	C₂×#41×C₁₃₉	1	4	yes	—
1115	C₂×C₄	C₂×#41×C₁₃₉	1	2	yes	—
1116	C₂²	—	2	2	no	—
1117	C₂²	—	2	2	no	—
1118	C₂²	—	2	4	no	—
1119	C₂²	—	2	4	no	—
1120	C₂²	—	2	2	no	—
1121	C₂²	—	2	2	no	—
1122	C₂²	—	2	4	no	—
1123	C₂²	—	2	4	no	—
1124	C₂²	—	2	2	no	—
1125	C₂²	—	2	2	no	—
1126	C₂²	—	2	2	no	—
1127	C₂²	—	2	4	no	—
1128	C₂²	—	2	2	no	—
1129	C₂²	—	4	16	no	—
1130	C₂²	—	4	1	no	—
1131	C₂²	—	4	2	no	—
1132	C₂²	—	4	1	no	—
1133	C₂²	—	4	2	no	—
1134	C₂²	—	4	2	no	—
1135	C₂²	—	4	1	no	—
1136	C₂²	—	4	1	no	—
1137	C₂²	—	4	1	no	—
1138	C₂²	—	4	1	no	—
1139	C₂²	—	4	2	no	—
1140	C₂²	—	4	2	no	—
1141	C₂²	—	4	1	no	—
1142	C₂²	—	4	1	no	—
1143	C₂²	—	4	2	no	—
1144	C₂²	—	4	2	no	—
1145	C₂²	—	8	8	no	—
1146	C₂²	#525×C₁₃₉	1	4	yes	—
1147	C₂²	#546×C₁₃₉	1	4	yes	—
1148	C₂²	C₂³×D₄×C₁₃₉	1	1	yes	characteristic
1149	C₂²	C₂²×#41×C₁₃₉	1	2	yes	—
1150	C₂²	C₂²×#41×C₁₃₉	1	1	yes	characteristic
1151	C₂²	C₂×H(5,𝔽₂)×C₁₃₉	1	1	yes	characteristic
1152	C₂²	#585×C₁₃₉	1	2	yes	—
1153	C₄	—	2	4	no	—
1154	C₄	—	2	4	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	2	2	no	—
1157	C₄	—	2	2	no	—
1158	C₄	—	2	2	no	—
1159	C₄	—	2	2	no	—
1160	C₄	—	4	1	no	—
1161	C₄	—	4	1	no	—
1162	C₄	—	4	1	no	—
1163	C₄	—	4	2	no	—
1164	C₄	—	4	2	no	—
1165	C₄	—	4	2	no	—
1166	C₄	—	4	1	no	—
1167	C₄	—	4	2	no	—
1168	C₄	—	4	2	no	—
1169	C₄	—	4	2	no	—
1170	C₂	—	2	4	no	—
1171	C₂	—	2	4	no	—
1172	C₂	—	4	2	no	—
1173	C₂	—	4	2	no	—
1174	C₂	—	8	1	no	—
1175	C₂	—	8	1	no	—
1176	C₂	C₂×#525×C₁₃₉	1	1	yes	characteristic
1177	C₂	C₂×#546×C₁₃₉	1	1	yes	characteristic
1178	C₂	#3475×C₁₃₉	1	2	yes	—
1179	C₂	#3485×C₁₃₉	1	1	yes	characteristic
1180	C₂	#3494×C₁₃₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₁₃₉	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₁₃₉
prime radical	C₂×#546×C₁₃₉	C₂
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₁₃₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₂²×#117×C₁₃₉	C₂	semidirect
3. #2854×C₁₃₉	C₂	semidirect
4. #2853×C₁₃₉	C₂	semidirect
5. #2849×C₁₃₉	C₂	semidirect
6. #2591×C₁₃₉	C₂	semidirect
7. #2579×C₁₃₉	C₂	semidirect
8. #2476×C₁₃₉	C₂	semidirect
9. #2476×C₁₃₉	C₂	semidirect
10. #2474×C₁₃₉	C₂	semidirect
11. #2470×C₁₃₉	C₂	semidirect
12. #2438×C₁₃₉	C₂	semidirect
13. #2413×C₁₃₉	C₂	semidirect
14. #2412×C₁₃₉	C₂	semidirect
15. #2411×C₁₃₉	C₂	semidirect
16. #2406×C₁₃₉	C₂	semidirect
17. #2405×C₁₃₉	C₂	semidirect
18. #2359×C₁₃₉	C₂	semidirect
19. #2342×C₁₃₉	C₂	semidirect
20. #2342×C₁₃₉	C₂	semidirect
21. C₄×#123×C₁₃₉	C₂	semidirect
22. #2297×C₁₃₉	C₂	semidirect
23. C₂×#386×C₁₃₉	C₂	semidirect
34. C₂×#123×C₁₃₉	C₂²	semidirect
46. C₂×#117×C₁₃₉	C₂²	semidirect
47. C₂×#117×C₁₃₉	C₂²	semidirect
48. C₂×#117×C₁₃₉	C₂²	semidirect
49. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
50. C₂²×C₄⋊C₄×C₁₃₉	C₂²	semidirect
56. C₂²×C₄²×C₁₃₉	C₂²	semidirect
57. C₂²×C₄²×C₁₃₉	C₂²	semidirect
58. #400×C₁₃₉	C₂²	semidirect
59. #398×C₁₃₉	C₂²	semidirect
60. #398×C₁₃₉	C₂²	semidirect
61. #397×C₁₃₉	C₂²	semidirect
62. #396×C₁₃₉	C₂²	semidirect
63. #396×C₁₃₉	C₂²	semidirect
64. #395×C₁₃₉	C₂²	semidirect
67. #394×C₁₃₉	C₂²	semidirect
68. #394×C₁₃₉	C₂²	semidirect
69. #394×C₁₃₉	C₂²	semidirect
70. #391×C₁₃₉	C₂²	semidirect
71. #390×C₁₃₉	C₂²	semidirect
72. #390×C₁₃₉	C₂²	semidirect
73. #389×C₁₃₉	C₂²	semidirect
74. #389×C₁₃₉	C₂²	semidirect
75. #388×C₁₃₉	C₂²	semidirect
76. #388×C₁₃₉	C₂²	semidirect
77. #388×C₁₃₉	C₂²	semidirect
78. #388×C₁₃₉	C₂²	semidirect
79. #388×C₁₃₉	C₂²	semidirect
80. #388×C₁₃₉	C₂²	semidirect
81. #388×C₁₃₉	C₂²	semidirect
82. #388×C₁₃₉	C₂²	semidirect
83. #388×C₁₃₉	C₂²	semidirect
84. #388×C₁₃₉	C₂²	semidirect
85. #387×C₁₃₉	C₂²	semidirect
86. #387×C₁₃₉	C₂²	semidirect
87. #387×C₁₃₉	C₂²	semidirect
88. #387×C₁₃₉	C₂²	semidirect
98. #386×C₁₃₉	C₂²	semidirect
99. #386×C₁₃₉	C₂²	semidirect
100. #386×C₁₃₉	C₂²	semidirect
101. #386×C₁₃₉	C₂²	semidirect
104. #385×C₁₃₉	C₂²	semidirect
105. #385×C₁₃₉	C₂²	semidirect
106. #385×C₁₃₉	C₂²	semidirect
107. #385×C₁₃₉	C₂²	semidirect
108. #385×C₁₃₉	C₂²	semidirect
109. #385×C₁₃₉	C₂²	semidirect
110. #385×C₁₃₉	C₂²	semidirect
112. #381×C₁₃₉	C₂²	semidirect
113. #381×C₁₃₉	C₂²	semidirect
115. #380×C₁₃₉	C₂²	semidirect
118. C₄×C₄⋊C₄×C₁₃₉	C₂²	semidirect
120. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
121. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
122. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
123. C₄×C₂²⋊C₄×C₁₃₉	C₂²	semidirect
340. C₂²×C₄×C₁₃₉	#41	semidirect
590. #36340	C₁₃₉	direct (N × H)
591. C₁₃₉	#36340	direct (N × H)
593. C₂²×#117	C₂×C₁₃₉	semidirect
594. #2854	C₂×C₁₃₉	semidirect
595. #2853	C₂×C₁₃₉	semidirect
596. #2849	C₂×C₁₃₉	semidirect
597. #2591	C₂×C₁₃₉	semidirect
598. #2579	C₂×C₁₃₉	semidirect
599. #2476	C₂×C₁₃₉	semidirect
600. #2476	C₂×C₁₃₉	semidirect
601. #2474	C₂×C₁₃₉	semidirect
602. #2470	C₂×C₁₃₉	semidirect
603. #2438	C₂×C₁₃₉	semidirect
604. #2413	C₂×C₁₃₉	semidirect
605. #2412	C₂×C₁₃₉	semidirect
606. #2411	C₂×C₁₃₉	semidirect
607. #2406	C₂×C₁₃₉	semidirect
608. #2405	C₂×C₁₃₉	semidirect
609. #2359	C₂×C₁₃₉	semidirect
610. #2342	C₂×C₁₃₉	semidirect
611. #2342	C₂×C₁₃₉	semidirect
612. C₄×#123	C₂×C₁₃₉	semidirect
613. #2297	C₂×C₁₃₉	semidirect
614. C₂×#386	C₂×C₁₃₉	semidirect
625. C₂×#123	C₂²×C₁₃₉	semidirect
637. C₂×#117	C₂²×C₁₃₉	semidirect
638. C₂×#117	C₂²×C₁₃₉	semidirect
639. C₂×#117	C₂²×C₁₃₉	semidirect
640. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
641. C₂²×C₄⋊C₄	C₂²×C₁₃₉	semidirect
647. C₂²×C₄²	C₂²×C₁₃₉	semidirect
648. C₂²×C₄²	C₂²×C₁₃₉	semidirect
649. #400	C₂²×C₁₃₉	semidirect
650. #398	C₂²×C₁₃₉	semidirect
651. #398	C₂²×C₁₃₉	semidirect
652. #397	C₂²×C₁₃₉	semidirect
653. #396	C₂²×C₁₃₉	semidirect
654. #396	C₂²×C₁₃₉	semidirect
655. #395	C₂²×C₁₃₉	semidirect
658. #394	C₂²×C₁₃₉	semidirect
659. #394	C₂²×C₁₃₉	semidirect
660. #394	C₂²×C₁₃₉	semidirect
661. #391	C₂²×C₁₃₉	semidirect
662. #390	C₂²×C₁₃₉	semidirect
663. #390	C₂²×C₁₃₉	semidirect
664. #389	C₂²×C₁₃₉	semidirect
665. #389	C₂²×C₁₃₉	semidirect
666. #388	C₂²×C₁₃₉	semidirect
667. #388	C₂²×C₁₃₉	semidirect
668. #388	C₂²×C₁₃₉	semidirect
669. #388	C₂²×C₁₃₉	semidirect
670. #388	C₂²×C₁₃₉	semidirect
671. #388	C₂²×C₁₃₉	semidirect
672. #388	C₂²×C₁₃₉	semidirect
673. #388	C₂²×C₁₃₉	semidirect
674. #388	C₂²×C₁₃₉	semidirect
675. #388	C₂²×C₁₃₉	semidirect
676. #387	C₂²×C₁₃₉	semidirect
677. #387	C₂²×C₁₃₉	semidirect
678. #387	C₂²×C₁₃₉	semidirect
679. #387	C₂²×C₁₃₉	semidirect
689. #386	C₂²×C₁₃₉	semidirect
690. #386	C₂²×C₁₃₉	semidirect
691. #386	C₂²×C₁₃₉	semidirect
692. #386	C₂²×C₁₃₉	semidirect
695. #385	C₂²×C₁₃₉	semidirect
696. #385	C₂²×C₁₃₉	semidirect
697. #385	C₂²×C₁₃₉	semidirect
698. #385	C₂²×C₁₃₉	semidirect
699. #385	C₂²×C₁₃₉	semidirect
700. #385	C₂²×C₁₃₉	semidirect
701. #385	C₂²×C₁₃₉	semidirect
703. #381	C₂²×C₁₃₉	semidirect
704. #381	C₂²×C₁₃₉	semidirect
706. #380	C₂²×C₁₃₉	semidirect
709. C₄×C₄⋊C₄	C₂²×C₁₃₉	semidirect
711. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
712. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
713. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
714. C₄×C₂²⋊C₄	C₂²×C₁₃₉	semidirect
931. C₂²×C₄	#41×C₁₃₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×#546×C₁₃₉	2
C₂²×#117×C₁₃₉	2
#2854×C₁₃₉	2
#2853×C₁₃₉	2
#2849×C₁₃₉	2
#2591×C₁₃₉	2
#2579×C₁₃₉	2
#2476×C₁₃₉	2
#2474×C₁₃₉	2
#2470×C₁₃₉	2
#2438×C₁₃₉	2
#2413×C₁₃₉	2
#2412×C₁₃₉	2
#2411×C₁₃₉	2
#2406×C₁₃₉	2
#2405×C₁₃₉	2
#2359×C₁₃₉	2
#2342×C₁₃₉	2
C₄×#123×C₁₃₉	2
#2297×C₁₃₉	2
C₂×#386×C₁₃₉	2
#36340	139

Subgroups — C139×#36340 #48030936

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₃₉×#36340 #48030936